What is the value of x? x = 2.25 x = 11.25 x = 13 x = 22


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Three of given lines form a triangle with measures of two interior angles 79^{\circ} and (2x+10)^{\circ}.

The angle with measure (6x+1)^{\circ} is exterior angle of considered triangle.

The measure of exterior angle of triangle is equal to the sum of the measures of two not adjacent interior angles:

6x+1=2x+10+79,\\ \\6x+1=2x+89,\\ \\6x-2x=89-1,\\ \\4x=88,\\ \\x=22^{\circ}.

Answer: correct choice is D


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